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Finding the Third Proportional to 1,342,352,416 and 2,722,980,348

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Solution

The third proportional to 1,342,352,416 and 2,722,980,348 is: 5,523,603,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,352,416 : 2,722,980,348 = 2,722,980,348 : x
  2. Step 2: Convert to fraction form
    1,342,352,416/2,722,980,348 = 2,722,980,348/x
  3. Step 3: Cross multiply
    1,342,352,416x = 2,722,980,348 × 2,722,980,348
  4. Step 4: Simplify right side
    1,342,352,416x = 7,414,621,975,594,201,088
  5. Step 5: Solve for x
    x = 7,414,621,975,594,201,088/1,342,352,416
  6. Step 6: Final answer
    x = 5,523,603,106.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.